Finite Automata and Regular Expressions: Problems and Solutions by Stefan Hollos & J. Richard Hollos
Author:Stefan Hollos & J. Richard Hollos [Hollos, Stefan]
Language: eng
Format: azw3
Publisher: Abrazol Publishing
Published: 2013-08-12T00:00:00+00:00
Answer.
There can be runs of zero, one, or two 1âs followed by a 0 and this can be repeated any number of times. A final run of zero, one, or two 1âs can appear at the end so the regular expression is
and the automaton is
The start state is 0 and the end state is .
The 4-bit binary numbers that satisfy this regular expression, along with their base-10 equivalent are:
0000 0 0001 1 0010 2 0011 3 0100 4 0101 5 0110 6 1000 8 1001 9 1010 10 1011 11 1100 12 1101 13
Problem 24.
Generalize the previous problem to no runs of or more ones.
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